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Finding the Fourth Proportional to 183.41, 274.76 and 85.78

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Solution

The fourth proportional to 183.41, 274.76 and 85.78 is: 128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.41 : 274.76 = 85.78 : x
  2. Step 2: Convert to fraction form
    183.41/274.76 = 85.78/x
  3. Step 3: Cross multiply
    183.41x = 274.76 × 85.78
  4. Step 4: Simplify right side
    183.41x = 23,567.11
  5. Step 5: Solve for x
    x = 23,567.11/183.41
  6. Step 6: Final answer
    x = 128.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.